Порівняння методів

	Дисперсійний аналіз вирівняних рангів (ART-ANOVA)	Тест Фрідмана
Галузь	Статистика	Статистика
Родина	Hypothesis test	Hypothesis test
Рік появи	2011	1937
Автор методу	Wobbrock, Findlater, Gergle & Higgins	Milton Friedman
Тип	Nonparametric factorial hypothesis test	Nonparametric repeated-measures comparison (by ranks)
Основоположне джерело	Wobbrock, J. O., Findlater, L., Gergle, D., & Higgins, J. J. (2011). The aligned rank transform for nonparametric factorial analyses using only ANOVA procedures. Proceedings of the ACM CHI Conference on Human Factors in Computing Systems (CHI 2011), 143–146.	Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance. Journal of the American Statistical Association, 32(200), 675–701.
Інші назви	ART-ANOVA, aligned ranks ANOVA, nonparametric factorial ANOVA, Hizalanmış Sıra Dönüşümü ANOVA (ART-ANOVA)	Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi
Пов'язані	7	2
Підсумок	The Aligned Rank Transform ANOVA (ART-ANOVA) is a nonparametric factorial hypothesis test that detects main effects and interactions in designs with two or more independent variables, without requiring normality. The procedure was formalized by Wobbrock, Findlater, Gergle, and Higgins in their 2011 CHI paper and operates by separately aligning each effect before ranking, so that standard ANOVA machinery can be applied to nonparametric data.	The Friedman test is a nonparametric hypothesis test that compares three or more related conditions measured on the same blocks or subjects, serving as the rank-based alternative to repeated-measures ANOVA. It was introduced by Milton Friedman in 1937 and works on ordinal or continuous data without assuming normality.